{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "569864b3",
   "metadata": {},
   "source": [
    "# Modelling SEI growth on particle cracks\n",
    "\n",
    "This notebook provides a short demonsration of how the SEI and particle mechanics submodels can be combined to simulate SEI growth on particle cracks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "eb5375ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install \"pybamm[plot,cite]\" -q    # install PyBaMM if it is not installed\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import pybamm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c46a0904",
   "metadata": {},
   "source": [
    "Define two models. In model1, the only degradation mechanism is solvent-diffusion limited SEI growth. model2 includes the same SEI growth mechanism but also includes particle cracking and SEI growth on the cracks. The SEI model is run twice: once on the initial surface and once on the cracks. The equations for SEI on cracks are reported by O'Kane et al. [10] To ensure a fair experiment, particle swelling is enabled in both models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b4df06fd",
   "metadata": {},
   "outputs": [],
   "source": [
    "model1 = pybamm.lithium_ion.DFN(\n",
    "    {\"SEI\": \"solvent-diffusion limited\", \"particle mechanics\": \"swelling only\"}\n",
    ")\n",
    "model2 = pybamm.lithium_ion.DFN(\n",
    "    {\n",
    "        \"particle mechanics\": \"swelling and cracking\",\n",
    "        \"SEI\": \"solvent-diffusion limited\",\n",
    "        \"SEI on cracks\": \"true\",\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01d45212",
   "metadata": {},
   "source": [
    "Depending on the parameter set being used, the particle cracking model can require a large number of mesh points inside the particles to be numerically stable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "19235041",
   "metadata": {},
   "outputs": [],
   "source": [
    "param = pybamm.ParameterValues(\"OKane2022\")\n",
    "var_pts = {\n",
    "    \"x_n\": 20,  # negative electrode\n",
    "    \"x_s\": 20,  # separator\n",
    "    \"x_p\": 20,  # positive electrode\n",
    "    \"r_n\": 26,  # negative particle\n",
    "    \"r_p\": 26,  # positive particle\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b70d357a",
   "metadata": {},
   "source": [
    "Solve the models with and without cracking. The steps before the 1C discharge make the model more numerically stable so fewer mesh points are required."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "05c30b49",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "At t = 431.796, , mxstep steps taken before reaching tout.\n",
      "At t = 191.796, , mxstep steps taken before reaching tout.\n",
      "At t = 430.599, , mxstep steps taken before reaching tout.\n",
      "At t = 190.599, , mxstep steps taken before reaching tout.\n"
     ]
    }
   ],
   "source": [
    "exp = pybamm.Experiment(\n",
    "    [\"Hold at 4.2 V until C/100\", \"Rest for 1 hour\", \"Discharge at 1C until 2.5 V\"]\n",
    ")\n",
    "sim1 = pybamm.Simulation(\n",
    "    model1, parameter_values=param, experiment=exp, var_pts=var_pts\n",
    ")\n",
    "sol1 = sim1.solve(calc_esoh=False)\n",
    "sim2 = pybamm.Simulation(\n",
    "    model2, parameter_values=param, experiment=exp, var_pts=var_pts\n",
    ")\n",
    "sol2 = sim2.solve(calc_esoh=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c3884817",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = sol1[\"Time [s]\"].entries\n",
    "V1 = sol1[\"Voltage [V]\"].entries\n",
    "SEI1 = sol1[\"Loss of lithium to negative SEI [mol]\"].entries\n",
    "lithium_neg1 = sol1[\"Total lithium in negative electrode [mol]\"].entries\n",
    "lithium_pos1 = sol1[\"Total lithium in positive electrode [mol]\"].entries\n",
    "t2 = sol2[\"Time [s]\"].entries\n",
    "V2 = sol2[\"Voltage [V]\"].entries\n",
    "SEI2 = (\n",
    "    sol2[\"Loss of lithium to negative SEI [mol]\"].entries\n",
    "    + sol2[\"Loss of lithium to negative SEI on cracks [mol]\"].entries\n",
    ")\n",
    "lithium_neg2 = sol2[\"Total lithium in negative electrode [mol]\"].entries\n",
    "lithium_pos2 = sol2[\"Total lithium in positive electrode [mol]\"].entries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d33e1d89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(18, 4))\n",
    "ax1.plot(t1, V1, label=\"without cracking\")\n",
    "ax1.plot(t2, V2, label=\"with cracking\", linestyle=\"dashed\")\n",
    "ax1.set_xlabel(\"Time [s]\")\n",
    "ax1.set_ylabel(\"Voltage [V]\")\n",
    "ax1.legend()\n",
    "ax2.plot(t1, SEI1, label=\"without cracking\")\n",
    "ax2.plot(t2, SEI2, label=\"with cracking\", linestyle=\"dashed\")\n",
    "ax2.set_xlabel(\"Time [s]\")\n",
    "ax2.set_ylabel(\"Loss of lithium to SEI [mol]\")\n",
    "ax2.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4afa1ba8",
   "metadata": {},
   "source": [
    "The SEI on cracks consumes far more capacity than the SEI on the initial surface, in agreement with the literature. Finally, check lithium is conserved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9ca7991b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(t2, lithium_neg2 + lithium_pos2)\n",
    "ax.plot(t2, lithium_neg2[0] + lithium_pos2[0] - SEI2, linestyle=\"dashed\")\n",
    "ax.set_xlabel(\"Time [s]\")\n",
    "ax.set_ylabel(\"Total lithium in electrodes [mol]\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "86209382",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] Weilong Ai, Ludwig Kraft, Johannes Sturm, Andreas Jossen, and Billy Wu. Electrochemical thermal-mechanical modelling of stress inhomogeneity in lithium-ion pouch cells. Journal of The Electrochemical Society, 167(1):013512, 2019. doi:10.1149/2.0122001JES.\n",
      "[2] Joel A. E. Andersson, Joris Gillis, Greg Horn, James B. Rawlings, and Moritz Diehl. CasADi – A software framework for nonlinear optimization and optimal control. Mathematical Programming Computation, 11(1):1–36, 2019. doi:10.1007/s12532-018-0139-4.\n",
      "[3] Von DAG Bruggeman. Berechnung verschiedener physikalischer konstanten von heterogenen substanzen. i. dielektrizitätskonstanten und leitfähigkeiten der mischkörper aus isotropen substanzen. Annalen der physik, 416(7):636–664, 1935.\n",
      "[4] Chang-Hui Chen, Ferran Brosa Planella, Kieran O'Regan, Dominika Gastol, W. Dhammika Widanage, and Emma Kendrick. Development of Experimental Techniques for Parameterization of Multi-scale Lithium-ion Battery Models. Journal of The Electrochemical Society, 167(8):080534, 2020. doi:10.1149/1945-7111/ab9050.\n",
      "[5] Rutooj Deshpande, Mark Verbrugge, Yang-Tse Cheng, John Wang, and Ping Liu. Battery cycle life prediction with coupled chemical degradation and fatigue mechanics. Journal of the Electrochemical Society, 159(10):A1730, 2012. doi:10.1149/2.049210jes.\n",
      "[6] Marc Doyle, Thomas F. Fuller, and John Newman. Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell. Journal of the Electrochemical society, 140(6):1526–1533, 1993. doi:10.1149/1.2221597.\n",
      "[7] Charles R. Harris, K. Jarrod Millman, Stéfan J. van der Walt, Ralf Gommers, Pauli Virtanen, David Cournapeau, Eric Wieser, Julian Taylor, Sebastian Berg, Nathaniel J. Smith, and others. Array programming with NumPy. Nature, 585(7825):357–362, 2020. doi:10.1038/s41586-020-2649-2.\n",
      "[8] Scott G. Marquis. Long-term degradation of lithium-ion batteries. PhD thesis, University of Oxford, 2020.\n",
      "[9] Simon E. J. O'Kane, Ian D. Campbell, Mohamed W. J. Marzook, Gregory J. Offer, and Monica Marinescu. Physical origin of the differential voltage minimum associated with lithium plating in li-ion batteries. Journal of The Electrochemical Society, 167(9):090540, may 2020. URL: https://doi.org/10.1149/1945-7111/ab90ac, doi:10.1149/1945-7111/ab90ac.\n",
      "[10] Simon E. J. O'Kane, Weilong Ai, Ganesh Madabattula, Diego Alonso-Alvarez, Robert Timms, Valentin Sulzer, Jacqueline Sophie Edge, Billy Wu, Gregory J. Offer, and Monica Marinescu. Lithium-ion battery degradation: how to model it. Phys. Chem. Chem. Phys., 24:7909-7922, 2022. URL: http://dx.doi.org/10.1039/D2CP00417H, doi:10.1039/D2CP00417H.\n",
      "[11] Valentin Sulzer, Scott G. Marquis, Robert Timms, Martin Robinson, and S. Jon Chapman. Python Battery Mathematical Modelling (PyBaMM). Journal of Open Research Software, 9(1):14, 2021. doi:10.5334/jors.309.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "pybamm.print_citations()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  },
  "vscode": {
   "interpreter": {
    "hash": "187972e187ab8dfbecfab9e8e194ae6d08262b2d51a54fa40644e3ddb6b5f74c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
